Oscillatory behavior and equidistribution of signs of Fourier coefficients of cusp forms

Mohammed Amin Amri

Published 2017-10-17Version 1

In this paper, we discuss questions related to the oscillatory behavior and the equidistribution of signs for certain subfamilies of Fourier coefficients of integral weight newforms with a non-trivial character as well as Fourier coefficients of eigenforms of half-integral weight reachable by the Shimura correspondence, which encourage us to extended the Bruinier-Kohnen conjecture.